Answer:
<em>19</em>
Step-by-step explanation:
has a factor
and
when divided by
, remainder is 20.
To find:Remainder when divided by (x-1) ?
Solution:
is a factor
when we put this value of x to the function, it will become 0.
i.e.

Remainder is 20 when f(x) is divided by 
i.e.


Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

By equation (1):

So, the equation becomes:


So, when divided by (x-1), remainder will be <em>19</em>.
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
Answer:
X=4
Step-by-step explanation:
28+8=36
36/9=4
9*4=36
36-8=28
x=4
Since 1 Euro is 1.321 in American money you must convert the value to $200
Divide 200 by 1.321
you get
151.40 in Euros
Answer:
The equation of the straight line in Slope- intercept form
y = 3 x - 11
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given points are (2,-5) and (8, 13)
The Slope of the line

Equation of the line having slope 'm' and given point

(x₁ , y₁) = ( 2, -5 )

y + 5 = 3x - 6
The equation of the straight line in slope intercept form
y = m x + c
y = 3 x - 6-5
y = 3 x - 11
<u><em>Final answer:</em></u>-
The equation of the straight line in Slope- intercept form
y = 3 x - 11